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Noethericity and index of a characteristic bisingular integral operator with shifts. (English. Russian original) Zbl 1476.47012

Sib. Math. J. 60, No. 4, 585-591 (2019); translation from Sib. Mat. Zh. 60, No. 4, 751-759 (2019).
Summary: We consider a characteristic bisingular operator with rather arbitrary shifts that decompose into one-dimensional components. We reduce the problem about the Noethericity and index to that about an operator without shifts. The results obtained are straightforwardly applicable to the two-dimensional boundary-value problem with shifts which is a natural generalization of the Haseman and Carleman problems.

MSC:

47A53 (Semi-) Fredholm operators; index theories
47A05 General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
47G10 Integral operators
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